Number Grids

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Introduction

Number Grids 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 This grid shows the numbers one to one hundred. The two of the corners diagonally opposite each other on a grid like this can be multiplied together to make a number. The other to corners can be multiplied to give a second number; there is a difference between the two figures. This difference is the interesting figure. We can compare the difference between grids of different sizes. 1 2 11 12 Let us start of small with a 2x2 grid. We can work out the difference using the long method first. 1x12 = 12 2x11 = 22 22-12 = 10. Therefore, ten is the difference of our first example. Quite easy you would think, but nerveless there are three sums, And, as the numbers get bigger the sums get harder. N N+1 N+10 N+11 So how can we get around this? ...read more.